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Taking L.H.S ,
√1-cos A/√1+cos A
By rationalising ,
√1-cos A/√1+cos A ×
√1-cos A/√1-cos A
=√(1-cos A)^2/√1-cos A^2
we know that sin^2A+cos^2A=1
so , sin^2 A = 1-cos^2A
√(1-cosA)^2/√sin^2 A
=1-cosA/sin A
hence proved.
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